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Submission #376665

# Submission time Handle Problem Language Result Execution time Memory
376665 2021-03-12T00:29:09 Z jeroenodb timeismoney (balkan11_timeismoney) C++14
100 / 100
 470 ms 620 KB 
#include "bits/stdc++.h"
using namespace std;
#define all(x) begin(x),end(x)
template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; }
template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { string sep; for (const T &x : v) os << sep << x, sep = " "; return os; }
#define debug(a) cerr << "(" << #a << ": " << a << ")\n";
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pi;
const int mxN = 200+1, mxM=1e4+2, oo = 1e9;
typedef complex<int> pt;
#define X real()
#define Y imag()
auto cross(pt u, pt v) {return (ll)u.X*v.Y-(ll)u.Y*v.X;}
auto sgn(ll a) {return a==0?0:(a>0?1:-1);}
auto ccw(pt p1, pt p2, pt p3) {auto u = p2-p1, v = p3-p2;return cross(u,v);}
auto in(pt p1, pt p2) {return (ll)p1.X*p2.X+(ll)p1.Y*p2.Y;}
auto norm(pt p) {return (ll)p.X*p.X+(ll)p.Y*p.Y;}
void read(pt& p) {
    int a,b; cin >> a >> b;
    p = {a,b};
}
struct DSU{
    vector<int> sz,parent;
    int components;
    DSU(int n) {
        sz.assign(n,1);
        components = n;
        parent.resize(n);
        for(int i=0;i<n;++i) parent[i]=i;
    }
    void link(int a, int b) {
        components--;
        if(sz[a]<sz[b]) {
            swap(a,b);
        }
        sz[a] = max(sz[a],sz[b]+1);
        parent[b] = a;
    }
    bool unite(int a, int b) {
        int pa = find(a),pb = find(b);
        if(pa!=pb) link(pa,pb);
        return pa!=pb;
    }
    int find(int a) {
        if(a==parent[a]) return a;
        return parent[a] = find(parent[a]);
    }
};
ll ft,fc;
struct edge{
    int a,b,t,c;
    bool operator<(const edge& o) const {
        return ft*t+fc*c < ft*o.t+fc*o.c;
    }
};
int n,m; 
edge edges[mxM];

int bestfc=0, bestft=1;
ll best=1e18;
complex<int> bestp=0;

pt kruskal(bool print=false) {
    DSU dsu(n);
    sort(edges,edges+m);
    pt ans = 0;
    for(int j=0;j<m;++j) {
        auto& e = edges[j];
        if(dsu.unite(e.a,e.b)) {
            ans+=pt{e.t,e.c};
            if(print) cout << e.a << ' ' << e.b << '\n';
        }
        if(dsu.components==1) break;
    }
    auto score = (ll)ans.X*ans.Y;
    if(score<best) {
        bestp = ans;
        best = score;
        bestft = ft;
        bestfc = fc;
    }
    return ans;
}

void solve(pt ul, pt rd) {
    ft = ul.Y-rd.Y;
    fc = rd.X-ul.X;
    if(ft==fc and ft==0) ft = 1;
    auto nw = kruskal();
    if(ccw(ul,nw,rd)==0) return;
    solve(ul,nw), solve(nw,rd);
}
int main() {
    cin >> n>>m;
    for(int i=0;i<m;++i) {
        int a,b,t,c; cin >> a >> b >> t >> c;
        edges[i] = {a,b,t,c};
    }
    ft = 1, fc = 0;
    auto p1 = kruskal();
    ft = 0, fc = 1;
    auto p2 = kruskal();
    solve(p1,p2);
    cout << bestp.X  << ' ' << bestp.Y << '\n';
    ft = bestft;
    fc = bestfc;
    kruskal(true);
}

Subtask #1
100.0 / 100.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 3 ms 364 KB Output is correct
8 Correct 13 ms 492 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 4 ms 364 KB Output is correct
15 Correct 3 ms 364 KB Output is correct
16 Correct 51 ms 364 KB Output is correct
17 Correct 54 ms 364 KB Output is correct
18 Correct 52 ms 384 KB Output is correct
19 Correct 470 ms 620 KB Output is correct
20 Correct 465 ms 528 KB Output is correct